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Finding the Fourth Proportional to 926.23, 1,278.19 and 506.59

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Solution

The fourth proportional to 926.23, 1,278.19 and 506.59 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.23 : 1,278.19 = 506.59 : x
  2. Step 2: Convert to fraction form
    926.23/1,278.19 = 506.59/x
  3. Step 3: Cross multiply
    926.23x = 1,278.19 × 506.59
  4. Step 4: Simplify right side
    926.23x = 647,516.17
  5. Step 5: Solve for x
    x = 647,516.17/926.23
  6. Step 6: Final answer
    x = 699.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.